Download or read book Prime Numbers written by David Wells and published by Turner Publishing Company. This book was released on 2011-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Download or read book Analytic Number Theory written by Jean-Marie De Koninck and published by American Mathematical Society. This book was released on 2023-07-31 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.

Download or read book Sequential Experiments with Primes written by Mihai Caragiu and published by Springer. This book was released on 2017-06-22 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Download or read book The Mathematical Legacy of Srinivasa Ramanujan written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2012-10-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

Download or read book Unsolved Problems in Number Theory written by R.K. Guy and published by Springer. This book was released on 1981-11-30 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Download or read book The Mathematical Gazette written by and published by . This book was released on 1988 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

Download or read book Einstein on Race and Racism written by Fred Jerome and published by Rutgers University Press. This book was released on 2005-07-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly fifty years after his death, Albert Einstein remains one of America's foremost cultural icons. A thicket of materials, ranging from scholarly to popular, have been written, compiled, produced, and published about his life and his teachings. Among the ocean of Einsteinia-scientific monographs, biographies, anthologies, bibliographies, calendars, postcards, posters, and Hollywood films-however, there is a peculiar void when it comes to the connection that the brilliant scientist had with the African American community. Nowhere is there any mention of his close relationship with Paul Robeson, despite Einstein's close friendship with him, or W.E.B. Du Bois, despite Einstein's support for him. This unique volume is the first to bring together a wealth of writings by the scientist on the topic of race. Although his activism in this area is less well known than his efforts on behalf of international peace and scientific cooperation, Einstein spoke out vigorously against racism both in the United States and around the world. Fred Jerome and Rodger Taylor suggest that one explanation for this historical amnesia is that Einstein's biographers avoided "controversial" topics, such as his friendships with African Americans and his political activities, including his involvement as co-chair of an antilynching campaign, fearing that mention of these details may tarnish the feel-good impression his image lends topics of science, history, and America. Combining the scientist's letters, speeches, and articles with engaging narrative and historical discussions that place his public statements in the context of his life and times, this important collection not only brings attention to Einstein's antiracist public activities, but also provides insight into the complexities of antiracist culture in America. The volume also features a selection of candid interviews with African Americans who knew Einstein as children. For a man whose words and reflections have influenced so many, it is long overdue that Einstein's thoughts on this vital topic are made easily accessible to the general public.

Download or read book Mixed Race Identity in the American South written by Julia Sattler and published by Rowman & Littlefield. This book was released on 2021-05-04 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary investigation argues that since the 1990s, discourses about mixed-race heritage in the United States have taken the shape of a veritable literary genre, here termed “memoir of the search.” The study uses four different texts to explore this non-fictional genre, including Edward Ball's Slaves in the Family and Shirlee Taylor Haizlip's The Sweeter the Juice. All feature a protagonist using methods from archival investigation to DNA-testing to explore an intergenerational family secret; photographs and family trees; and the trip to the American South, which is identified as the site of the secret’s origin and of the family’s past. As a genre, these texts negotiate the memory of slavery and segregation in the present. In taking up central narratives of Americanness, such as the American Dream and the Immigrant story, as well as discourses generating the American family, the texts help inscribe themselves and the mixed-race heritage they address into the American mainstream. In its outlook, this book highlights the importance of the memoirs’ negotiations of the past when finding ways to remember after the last witnesses have passed away. and contributes to the discussion over political justice and reparations for slavery.

Download or read book Applied Cryptography written by Bruce Schneier and published by John Wiley & Sons. This book was released on 2017-05-25 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the world's most renowned security technologist, Bruce Schneier, this 20th Anniversary Edition is the most definitive reference on cryptography ever published and is the seminal work on cryptography. Cryptographic techniques have applications far beyond the obvious uses of encoding and decoding information. For developers who need to know about capabilities, such as digital signatures, that depend on cryptographic techniques, there's no better overview than Applied Cryptography, the definitive book on the subject. Bruce Schneier covers general classes of cryptographic protocols and then specific techniques, detailing the inner workings of real-world cryptographic algorithms including the Data Encryption Standard and RSA public-key cryptosystems. The book includes source-code listings and extensive advice on the practical aspects of cryptography implementation, such as the importance of generating truly random numbers and of keeping keys secure. ". . .the best introduction to cryptography I've ever seen. . . .The book the National Security Agency wanted never to be published. . . ." -Wired Magazine ". . .monumental . . . fascinating . . . comprehensive . . . the definitive work on cryptography for computer programmers . . ." -Dr. Dobb's Journal ". . .easily ranks as one of the most authoritative in its field." -PC Magazine The book details how programmers and electronic communications professionals can use cryptography-the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. The book shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems. With a new Introduction by the author, this premium edition will be a keepsake for all those committed to computer and cyber security.

Download or read book Sovereigns Quasi Sovereigns and Africans written by Siba N'Zatioula Grovogui and published by U of Minnesota Press. This book was released on 1996 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sovereigns, Quasi Sovereigns, and Africans was first published in 1996. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. In this trenchant critique, Siba N'Zatioula Grovogui demonstrates the failure of international law to address adequately the issues surrounding African self-determination during decolonization. Challenging the view that the only requirement for decolonization is the elimination of the legal instruments that provided for direct foreign rule, Sovereigns, Quasi Sovereigns, and Africans probes the universal claims of international law. Grovogui begins by documenting the creation of the "image of Africa" in European popular culture, examining its construction by conquerors and explorers, scientists and social scientists, and the Catholic Church. Using the case of Namibia to illuminate the general context of Africa, he demonstrates that the principles and rules recognized in international law today are not universal, but instead reflect relations of power and the historical dominance of specific European states. Grovogui argues that two important factors have undermined the universal applicability of international law: its dependence on Western culture and the way that international law has been structured to preserve Western hegemony in the international order. This dependence on Europeandominated models and legal apparatus has resulted in the paradox that only rights sanctioned by the former colonial powers have been accorded to the colonized, regardless of the latter's needs. In the case of Namibia, Grovogui focuses on the discursive strategies used by the West and their southern African allies to control the legal debate, as well as the tactics used by the colonized to recast the terms of the discussion. Grovogui blends critical legal theory, historical research, political economy, and cultural studies with profound knowledge of contemporary Africa in general and Namibia in particular. Sovereigns, Quasi Sovereigns, and Africans represents the very best of the new scholarship, moving beyond narrow disciplinary boundaries to illuminate issues of decolonization in Africa. Siba N'Zatioula Grovogui is assistant professor of political science at Johns Hopkins University. He previously practiced law in his native Guinea.

Download or read book Race in Post Fascist Italy written by Silvana Patriarca and published by Cambridge University Press. This book was released on 2022-02-03 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the untold stories of the biracial children born from the encounter between Italian women and Black Allied soldiers in the immediate aftermath of WWII, this original and engaging study sheds lights on the persistence of anti-Black prejudice and ideas of race in democratic Italy, stressing the legacies of colonialist and fascist racism.

Download or read book Computational Cryptography written by Joppe Bos and published by Cambridge University Press. This book was released on 2021-12-02 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.

Download or read book Learie Constantine and Race Relations in Britain and the Empire written by Jeffrey Hill and published by Bloomsbury Publishing. This book was released on 2018-12-13 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who was Learie Constantine? And what can he tell us about the politics of race and race relations in 20th-century Britain and the Empire? Through examining the life, times and opinions of this Trinidadian cricketer-turned-politician, Learie Constantine and Race Relations in Britain and the Empire explores the centrality of race in British politics and society. Unlike conventional biographical studies of Constantine, this unique approach to his life, and the racially volatile context in which it was lived, moves away from the 'good man' narrative commonly attributed to his rise to pre-eminence as a spokesman against racial discrimination and as the first black peer in the House of Lords. Through detailing how Constantine's idea of 'assimilation' was criticized, then later rejected by successive activists in the politics of race, Jeff rey Hill off ers an alternative and more sophisticated analysis of Constantine's contributions to, and complex relationship with, the fight against racial inequalities inherent in British domestic and imperial society.

Download or read book Community Work and Racism written by Ashok Ohri and published by Taylor & Francis. This book was released on 2023-03-24 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1982, Community Work and Racism takes as its theme the fundamental need of the black community in Britain to be freed from the disabling effects of white racism both in the individual and institutional forms. Starting from the premise that racism is a ‘white problem’ in Britain, the book argues that community work must put white racism on everyone’s local and national alliances in the fight against racism in British society. The contributors consider the response, or lack of it, there has so far been by ‘white’ community work to racism, and look at the state’s response to racism as it impinges on community work. They discuss black community action and initiatives on racism, explore alliances which have come into being in the fight against racism, and examine the conditions which make such alliances possible. This book will be of interest to students of sociology, public policy, race and ethnic studies.